What is the recursive rule?

Question 2 options:

an = an+1 + 500; a1 = 30,000

an = an−1 + 30,000; a1 = 500

an = an−1 + 500; a1 = 29,500

an = an−1 + 500; a1 = 30,000

2Answer:

a. 68%

b. 95%

c. 2.35%

Step-by-step explanation:

empirical rule is the

68–95–99.7 rule

a. 68%

b. 95%

c. 99.7 - 95 = 4.7 then 4.7/2 =

2.35%

Answer:0

Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).

And also

3w(x+y) - 4z(x+y)

Step-by-step explanation:

Hope it helps......

3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B

To factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.

The given expression is  3wx + 3wy - 4zx - 4zy

First, put the terms into pairs.

The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.

Next, separate and remove the terms that are the same from each group.

The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).

This is a summary:

In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.

Learn more about factoring by grouping from

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Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.

5 = 60 and 7=120. 60+120=180

Answer:

the answer is 10.52547%

Step-by-step explanation:

Answer:

x = 2√7

using Pythagoras theorem:

For the bottom part:

Answer:

this is my answer

5.29

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Put the term x on one side of the equation.

Subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]

Solve.

Subtract the numbers from left to right.

⇒ 12-2=10

⇒ -5x<10

Multiply by -1 from both sides.

⇒ (-5x)(-1)>10(-1)

Solve.

Multiply the numbers from left to right.

-5x*-1=5x

10*-1=-10

→ 5x>-10

Divide by 5 from both sides.

→ 5x/5>-10/5

Solve.

Divide the numbers from left to right.

-10/5=-2

[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

[tex]x > -2[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5x+2 < 12[/tex]

To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.

[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]

Which means your answer is "x > -2."

Hope this helps.

It's C promise me it's C.

Answer:

76.6%

Step-by-step explanation:

345/450 * 100%

I hope it helps and sorry if I'm wrong

Answer:

i. 31/25

ii. 1/5

Step-by-step explanation:

you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

If it passes through x, then let's find x when y = 0

[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]

So, required values of x are 3 and -2

Now, let's differentiate the equation to get slope slope for tangent ~

[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]

[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]

Now, plug in the values of x to find slopes of tangents

[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]

We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'

[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]

Now, write the equations of normals using point slope form :

Normal 1 : passing through (3 , 0), and slope = -1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]

[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]

and

Normal 2 : passing through (-2 , 0), and slope = 1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]

[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]

That's all for Aunty ~ hope it helps !

Answer:

Step-by-step explanation:

Solve a slope using a rate of change.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

⇒ y2=(-5)

⇒ y1=3

⇒ x2=2

⇒ x1=0

Rewrite the problem down.

⇒ (-5)-3/2-0

Solve.

⇒ -8/2

Divide.

⇒ -8/2=-4

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

2x

Step-by-step explanation:

X = chris's money

2 times chris's money = 2x

Answer:

29 is the correct answer because subtract 90 from 61 we get 29

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.

So, we would have to subtract 61 from 90 to find the missing value.

90 - 61 = 29

Therefore, x equals 29°

-kiniwih426

Answer:

2,250 yd^3

Step-by-step explanation:

formula for pyramid is lwh/3

Answer:

110 cm

Step-by-step explanation:

Hope it will help you.

I believe the answer is -16x+35

Answer:

The answer is 6.

Step-by-step explanation:

The degree is the largest exponent on the variable. And in this case the answer is 6.

Answer:

24

Step-by-step explanation:

a linear function has the form: y = ax + b

According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19

Then our function is of the form: y = 19x + 5

Now ,we replace x by 1 in the function to get the missing value :

Missing value = 19(1) + 5 = 19 + 5 = 24.

Answer:

its simple just add all of the numbers and then divide it by the total frequency

Step-by-step explanation:

4+5+5+7+8+8+8+10+10

            8

=65

  8

=8.125

well, we know that π is 180°, so then what is 3π/5?

[tex]\begin{array}{ccll} radians&degrees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]

Answer:

y=112

Step-by-step explanation:

If x=3.5 and y=14, you would divide 28 by 3.5 to get 8. Since x and y are directly proportional, you would times 14 by 8 to get y=112.

Answer:

the answer could be 60

Step-by-step explanation:

I could be wrong sorry if I am

Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]

Answer:

that would be 1/2 because its the only one that could reduce the numbers.

Step-by-step explanation:

hope this helps,

kleann

The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,

SF = 10 / 20

SF = 1 / 2

The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.

More about the dilation link is given below.

https://brainly.com/question/2856466

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Differentiate

[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]

[tex]\\ \rm\rightarrowtail 4x+9[/tex]

f'(5):-

Option C

instantaneous rate can be found by differentiating the function.

Here,

so differentiating:

So when x = 5,

Answer:

obtuse

Step-by-step explanation:

It is obtuse because it is greater than 90 degrees!